Wkst- Right Triangle Trig Apps Page 2

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5.
An engineer stands 50 feet away from a building and sights the top of the building with a surveying
device mounted on a tripod. If the surveying device is 5 feet above the ground and the angle of
o
elevation is 50
, how tall is the building?
6.
A commercial airline pilot is flying at an altitude of 6.5 miles. To make a gentle descent for landing, the
pilot begins descending toward the airport when he is 186 miles away (measured on the ground). What
angle will the plane’s path make with the runway?
7.
An observer, in a lighthouse, 80 feet above the surface of the water measures an angle of depression of
o
2
, to a ship out at sea.. How many feet is the ship from the base of the lighthouse?
8.
A ship is just offshore of New York City. A sighting is taken of the Statue of Liberty, which is about
305 ft. tall. If the angle of elevation to the top of the statue is 20°, how far is the ship from the base of
the statue?
9.
A 40 ft ladder leans against a building. If the base of the ladder is 6 ft from the base of the building,
what is the angle formed by the ladder and the building?

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